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Categorified quantum sl(2) and equivariant cohomology of iterated flag varietiesby: Aaron D. Lauda
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AbstractA 2-category was introduced in <a href="/abs/0803.3652">arXiv:0803.3652</a> [math.QA] that categorifies Lusztig's integral version of quantum sl(2). Here we construct for each positive integer N arepresentation of this 2-category using the equivariant cohomology of iterated flag varieties. This representation categorifies the irreducible (N+1)-dimensional representation of quantum sl(2).
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